# Isomorphism of the Dihedral group!

1. Jan 20, 2012

### blahblah8724

We're doing isomorphisms and I was just wondering, is the dihedral group $D_{12}$ isomorphic to the group of even permutations $A_4$?

2. Jan 20, 2012

### micromass

Let's find out. How many elements of order 2 are there in $A_4$ and $D_{12}$??

3. Jan 20, 2012

### Deveno

OR....

D12 contains 2 elements of order 6 (what are they?). does A4 have any elements of order 6?